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arXiv 1410.7809physics.flu-dyn
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$Re_τ\approx5200$以下槽道湍流的直接数值模拟

Direct numerical simulation of turbulent channel flow up to $Re_τ\approx 5200$

Myoungkyu Lee, Robert D. Moser

AI总结:

本文在$Re_τ=5186$下开展不可压缩槽道湍流直接数值模拟,揭示了高雷诺数壁湍流的对数律、尺度分离及谱双峰等特征。

摘要:

本文对$Re_τ=5186$条件下的不可压缩槽道流动进行了直接数值模拟,该流动展现出高雷诺数壁湍流的若干特征。例如,研究观察到平均速度呈对数变化的区域,von Karman常数为$κ=0.384\pm0.004$。展向速度分量的方差同样存在对数依赖关系,但流向速度分量并不存在这一关系。大尺度外层结构与小尺度内层结构之间存在明显的尺度分离。在距壁面的中间距离处,流向速度脉动在流向和展向两个方向上的一维谱,在波数$k$的一个较短范围内表现出$k^{-1}$依赖。此外,与以往实验观察一致,当这些谱乘以$k$(即预乘谱)时,它们具有双峰结构,局部峰值位于$k^{-1}$范围两侧的波数处。

英文摘要:

A direct numerical simulation of incompressible channel flow at $Re_τ$ = 5186 has been performed, and the flow exhibits a number of the characteristics of high Reynolds number wall-bounded turbulent flows. For example, a region where the mean velocity has a logarithmic variation is observed, with von Karman constant $κ= 0.384 \pm 0.004$. There is also a logarithmic dependence of the variance of the spanwise velocity component, though not the streamwise component. A distinct separation of scales exists between the large outer-layer structures and small inner-layer structures. At intermediate distances from the wall, the one-dimensional spectrum of the streamwise velocity fluctuation in both the streamwise and spanwise directions exhibits $k^{-1}$ dependence over a short range in $k$. Further, consistent with previous experimental observations, when these spectra are multiplied by $k$ (premultiplied spectra), they have a bi-modal structure with local peaks located at wavenumbers on either side of the $k^{-1}$ range.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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